Mr Kunal Sharma wants to buy a motorbike which is priced at ₹45,500. The bike is also available at ₹25,000 down payment and monthly installments of ₹1000 per month for 2 years or ₹18,000 down payment and monthly installment of ₹1000 per month for 3 years. Mr Kunal has with him only ₹12,000. He wants to borrow the balance money of the down payment from a private lender whose terms are : if ₹6,000 is borrowed for 12 months, the rate of interest is 20%. The interest will be calculated on the whole amountfor the whole year, even though the repayment has to be done in 12 equal monthly installments starting from the first month itself. Thus he will have to repay an amount of ₹600 per month for 12 months to repay ₹6000 (Principal) + ₹1200 (Interest @ 20%). If ₹10,000 upwards is borrowed for one year, the rate of interest is 30% and is calculated in exactly the same manner as above.
What is the percentage difference in the total amount paid to the bike dealer between the two installment schemes (with respect to the total payment of the scheme with ₹25,000 down payment)?
Let us calculate the total amount paid to the bike dealer for the two installment schemes.
Scheme 1: ₹25,000 down payment and monthly installments of ₹1000 per month for 2 years.
Cost incurred through this is Rs. 25,000+1000*24 = 25,000+24,000 = Rs. 49,000
Scheme 2: ₹18,000 down payment and monthly installment of ₹1000 per month for 3 years
Cost incurred through this is Rs. 18,000+1000*36 = 18,000+36,000 = Rs. 54,000
The difference between the two is Rs. 5,000
5,000 as a percentage of 49,000 will be $$\frac{5000}{49000}\cdot100=$$ 10.2%